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Finding the Fourth Proportional to 5,207.28, 7,812 and 2,740.74

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Solution

The fourth proportional to 5,207.28, 7,812 and 2,740.74 is: 4,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.28 : 7,812 = 2,740.74 : x
  2. Step 2: Convert to fraction form
    5,207.28/7,812 = 2,740.74/x
  3. Step 3: Cross multiply
    5,207.28x = 7,812 × 2,740.74
  4. Step 4: Simplify right side
    5,207.28x = 21,410,660.88
  5. Step 5: Solve for x
    x = 21,410,660.88/5,207.28
  6. Step 6: Final answer
    x = 4,111.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.